TY  - JOUR
A1  - Mulansky, Mario
A1  - Ahnert, Karsten
A1  - Pikovskij, Arkadij
T1  - Scaling of energy spreading in strongly nonlinear disordered lattices
T2  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - To characterize a destruction of Anderson localization by nonlinearity, we study the spreading behavior of initially localized states in disordered, strongly nonlinear lattices. Due to chaotic nonlinear interaction of localized linear or nonlinear modes, energy spreads nearly subdiffusively. Based on a phenomenological description by virtue of a nonlinear diffusion equation, we establish a one-parameter scaling relation between the velocity of spreading and the density, which is confirmed numerically. From this scaling it follows that for very low densities the spreading slows down compared to the pure power law.
Y1  - 2011
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/37014
SN  - 1539-3755
VL  - 83
IS  - 2
PB  - American Physical Society
CY  - College Park
ER  -